Home / 2,150.56-3,222-1,283.20

Finding the Fourth Proportional to 2,150.56, 3,222 and 1,283.20

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Solution

The fourth proportional to 2,150.56, 3,222 and 1,283.20 is: 1,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.56 : 3,222 = 1,283.20 : x
  2. Step 2: Convert to fraction form
    2,150.56/3,222 = 1,283.20/x
  3. Step 3: Cross multiply
    2,150.56x = 3,222 × 1,283.20
  4. Step 4: Simplify right side
    2,150.56x = 4,134,470.40
  5. Step 5: Solve for x
    x = 4,134,470.40/2,150.56
  6. Step 6: Final answer
    x = 1,922.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.